Serial sectioning methods were used to study Ca self-diffusion in single crystals which contained up to 75ppm of cation impurities (table 182). The data for temperatures ranging from 987 to 1246C could be described by:
D (cm2/s) = 5.35 x 103 exp[-4.15(eV)/kT]
By analyzing the results on the basis of a Ca-ion vacancy diffusion mechanism, the migration enthalpy was estimated to be 1.75eV. The order of magnitude of the pre-exponential factor could be explained on the basis of lattice-strain entropy effects.
M.F.Berard: Journal of the American Ceramic Society, 1971, 54[3], 144-6
Table 182
Self-Diffusion of Ca in CaF2 Single Crystals
Temperature (C) | D (cm2/s) |
987 | 1.15 x 10-13 |
987 | 1.18 x 10-13 |
1020 | 5.58 x 10-13 |
1020 | 4.10 x 10-13 |
1048 | 1.15 x 10-12 |
1063 | 1.16 x 10-12 |
1095 | 1.59 x 10-12 |
1116 | 5.42 x 10-12 |
1151 | 9.18 x 10-12 |
1182 | 1.15 x 10-11 |
1205 | 4.94 x 10-11 |
1205 | 5.10 x 10-11 |
1226 | 6.13 x 10-11 |
1246 | 1.18 x 10-10 |